Authors
Andrew Arana
University of Lorraine
Abstract
Throughout history, mathematicians have expressed preference for solutions to problems that avoid introducing concepts that are in one sense or another “foreign” or “alien” to the problem under investigation. This preference for “purity” (which German writers commonly referred to as “methoden Reinheit”) has taken various forms. It has also been persistent. This notwithstanding, it has not been analyzed at even a basic philosophical level. In this paper we give a basic analysis of one conception of purity—what we call topical purity—and discuss its epistemological significance
Keywords proof  purity
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 52,919
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

On the Relationship Between Plane and Solid Geometry.Andrew Arana & Paolo Mancosu - 2012 - Review of Symbolic Logic 5 (2):294-353.
Axioms in Mathematical Practice.Dirk Schlimm - 2013 - Philosophia Mathematica 21 (1):37-92.
Modularity in Mathematics.Jeremy Avigad - 2020 - Review of Symbolic Logic 13 (1):47-79.

View all 18 citations / Add more citations

Similar books and articles

Logical and Semantic Purity.Andrew Arana - 2008 - ProtoSociology 25:36-48.
Unclean.Richard Allan Beck - 2012 - Lutterworth Press.
Sidgwick and the Morality of Purity.Francesco Orsi - 2012 - Revue d'Etudes Benthamiennes 10 (10).
In Defence of Purity.F. J. Dore - 1932 - Thought: Fordham University Quarterly 7 (2):325-327.
Contancy and Purity.John Kekes - 1983 - Mind 92 (368):499-518.
Purity in Morals.Frances Myrna - 1983 - The Monist 66 (2):283-297.
The Production of Purity as the Production of Knowledge.Jonathan Simon - 2012 - Foundations of Chemistry 14 (1):83-96.
Harmony, Purity, Truth.Graham Oddie - 1994 - Mind 103 (412):451-472.

Analytics

Added to PP index
2011-02-22

Total views
143 ( #62,998 of 2,343,713 )

Recent downloads (6 months)
3 ( #240,112 of 2,343,713 )

How can I increase my downloads?

Downloads

My notes